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2013 A Connection between Basic Univalence Criteria
Horiana Tudor
Abstr. Appl. Anal. 2013: 1-7 (2013). DOI: 10.1155/2013/404672


We obtain a sufficient condition for the analyticity and the univalence of a class of functions defined by an integral operator. The well-known univalence criteria of Alexander, Noshiro-Warschawski, Nehari, Goluzin, Ozaki-Nunokawa, Becker, and Lewandowski would follow upon specializing the functions and the parameters involved in the main result. The results obtained not only reduce to those earlier works, but they also extend the previous results.


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Horiana Tudor. "A Connection between Basic Univalence Criteria." Abstr. Appl. Anal. 2013 1 - 7, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1292.30013
MathSciNet: MR3081607
Digital Object Identifier: 10.1155/2013/404672

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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